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Finding the Fourth Proportional to 70.75, 106 and 49.05

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Solution

The fourth proportional to 70.75, 106 and 49.05 is: 73.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 106 = 49.05 : x
  2. Step 2: Convert to fraction form
    70.75/106 = 49.05/x
  3. Step 3: Cross multiply
    70.75x = 106 × 49.05
  4. Step 4: Simplify right side
    70.75x = 5,199.30
  5. Step 5: Solve for x
    x = 5,199.30/70.75
  6. Step 6: Final answer
    x = 73.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.